Editing of the article Funcoids and Reloids led to almost ready preprint. I can’t publish it just now because it refers to not yet published article Filters on Posets and Generalizations.
Note that I moved some theorems from Funcoids and Reloids to Orderings of filters in terms of reloids, because proofs of these theorems rely on the concept of isomorphisms of filters defined in Orderings of filters in terms of reloids.